Some solutions for n=3
..0..1..1..2....0..1..0..1....0..1..1..2....0..1..1..0....0..1..0..2
..0..1..1..2....0..1..0..1....0..1..1..2....0..1..1..0....0..1..0..2
..0..1..1..0....0..1..2..3....1..0..3..2....2..3..1..0....2..0..0..2
..2..1..1..0....0..1..2..3....1..0..3..0....2..3..1..0....2..0..0..2
..2..0..2..3....2..0..1..3....2..3..3..0....0..3..1..2....2..3..3..2
..2..0..2..3....2..0..1..3....2..3..3..0....0..3..1..2....2..3..3..2
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